Question

find the tangent of ∠j. simplify your answer and write it as a proper fraction, improper fraction, or whole number. tan(j) =

Explanation:

Step1: Recall tangent definition

In a right triangle, $\tan(\theta) = \frac{\text{opposite}}{\text{adjacent}}$ to $\theta$.

Step2: Identify sides for $\angle J$

For $\angle J$, opposite side is $HI = 56$, adjacent side is $IJ = 33$.

Step3: Calculate $\tan(J)$

$\tan(J) = \frac{HI}{IJ} = \frac{56}{33}$

Answer:

$\frac{56}{33}$